Q: What are the factor combinations of the number 370,844,093?

 A:
Positive:   1 x 3708440935303 x 69931
Negative: -1 x -370844093-5303 x -69931


How do I find the factor combinations of the number 370,844,093?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 370,844,093, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 370,844,093
-1 -370,844,093

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 370,844,093.

Example:
1 x 370,844,093 = 370,844,093
and
-1 x -370,844,093 = 370,844,093
Notice both answers equal 370,844,093

With that explanation out of the way, let's continue. Next, we take the number 370,844,093 and divide it by 2:

370,844,093 ÷ 2 = 185,422,046.5

If the quotient is a whole number, then 2 and 185,422,046.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 370,844,093
-1 -370,844,093

Now, we try dividing 370,844,093 by 3:

370,844,093 ÷ 3 = 123,614,697.6667

If the quotient is a whole number, then 3 and 123,614,697.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 370,844,093
-1 -370,844,093

Let's try dividing by 4:

370,844,093 ÷ 4 = 92,711,023.25

If the quotient is a whole number, then 4 and 92,711,023.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 370,844,093
-1 370,844,093
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

15,30369,931370,844,093
-1-5,303-69,931-370,844,093

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 370,844,093:


Ask a Question